A comparative study to solve fractional initial value problems in discrete domain

被引：2
|
作者：
Abed, Alaa Mohsin [1 ,2 ]
Jafari, Hosein [1 ,3 ]
Mechee, Mohammed Sahib [4 ]
机构：
[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babolsar, Iran
[2] Gen Directorate Educ Diwaniyah, Diwaniyah, Iraq
[3] Univ South Africa, Dept Math Sci, UNISA, ZA-0003 Pretoria, South Africa
[4] Univ Kufa, Informat Technol Res & Dev Ctr ITRDC, Dept Math, Najaf, Iraq
来源：
OPEN ENGINEERING | 2023年 / 13卷 / 01期
关键词：
discrete calculus; Sumudu transform; homotopy perturbation method; fractional difference equation; SUMUDU TRANSFORM;
D O I：
10.1515/eng-2022-0480
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this article, we used some methods to solve Riemann-type fractional difference equations. Firstly, we use a method that is a composite method based on the successive approximation method with the Sumudu transform. Secondly, we use a method that is a composite method that consists of the homotopic perturbation method with the Sumudu transform. It was found that the results obtained from these combined methods are identical when compared. We also provided theories and illustrative examples to support the research findings.
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页数：15
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